Applications of Trigonometry
A tower stands vertically on the ground. From a point on the ground, which is 15 m away from the foot of the tower, the angle of elevation of the top of the tower is found to be 60°. Find the height of the tower.
A 1.5 m tall boy is standing at some distance from a 30 m tall building. The angle of elevation from his eyes to the top of the building increases from 30° to 60° as he walks towards the building. Find the distance he walked towards the building.
Define the terms 'Line of Sight', 'Angle of Elevation', and 'Angle of Depression' with the help of a theoretical description used in the applications of trigonometry.
Explain the step-by-step methodology used to solve practical problems related to heights and distances in trigonometry, highlighting the importance of correct diagrammatic representation.